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Finding the Third Proportional to 8,260,069.50 and 17,715,861

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Solution

The third proportional to 8,260,069.50 and 17,715,861 is: 37,996,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260,069.50 : 17,715,861 = 17,715,861 : x
  2. Step 2: Convert to fraction form
    8,260,069.50/17,715,861 = 17,715,861/x
  3. Step 3: Cross multiply
    8,260,069.50x = 17,715,861 × 17,715,861
  4. Step 4: Simplify right side
    8,260,069.50x = 313,851,730,971,321
  5. Step 5: Solve for x
    x = 313,851,730,971,321/8,260,069.50
  6. Step 6: Final answer
    x = 37,996,257.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.